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Finding the Third Proportional to 30,686 and 66,205

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Solution

The third proportional to 30,686 and 66,205 is: 142,837.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,686 : 66,205 = 66,205 : x
  2. Step 2: Convert to fraction form
    30,686/66,205 = 66,205/x
  3. Step 3: Cross multiply
    30,686x = 66,205 × 66,205
  4. Step 4: Simplify right side
    30,686x = 4,383,102,025
  5. Step 5: Solve for x
    x = 4,383,102,025/30,686
  6. Step 6: Final answer
    x = 142,837.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.